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Grade 8 practice chapters

1. Grade 8 · Chapter 181

   Recover a right-triangle distance · practice 16

   A right triangle has perpendicular legs 1 and 3. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

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2. Grade 8 · Chapter 182

   Explain zero and negative powers · practice 15

   Evaluate 3 raised to the integer power -2. Follow the calculation, then test the quantities in the animated example.

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3. Grade 8 · Chapter 183

   Follow decimal place-value scaling · practice 18

   Write 5 × 10^(-6) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

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4. Grade 8 · Chapter 184

   Separate trend from causal claims · practice 19

   For inputs [1, 2, 3, 4, 5] and corresponding outputs [5.25, -0.5, 2.5, 5.5, -0.25], find the least-squares slope, mean output, and sum of squared residuals. Follow the calculation, then test the quantities in the animated example.

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5. Grade 8 · Chapter 185

   Accumulate circular cross-sections · practice 19

   Find the volume of a cylinder with radius 2.5 and height 4. Follow the calculation, then test the quantities in the animated example.

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6. Grade 8 · Chapter 186

   Bracket a principal square root · practice 20

   Enclose √68 after 8 bisections starting from [0, 68]. Report bounds rounded outward to five decimal places and the exact interval width. Follow the calculation, then test the quantities in the animated example.

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7. Grade 8 · Chapter 187

   Distinguish length and area multipliers · practice 20

   Dilate a rectangle with sides 3.5 and 5 by length factor 0.5. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

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8. Grade 8 · Chapter 188

   Connect slope and a linear rule · practice 21

   For the line y = 1.5x + (1), find y when x = 3 and identify the slope and vertical intercept. Follow the calculation, then test the quantities in the animated example.

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9. Grade 8 · Chapter 189

   Locate simultaneous solutions · practice 21

   Solve the simultaneous equations y = 0.5x and y = 0x + (7). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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10. Grade 8 · Chapter 190

    Translate every coordinate equally · practice 21

    Translate the point (1, 1) by the vector (-5, -5). Find the image and the movement length. Follow the calculation, then test the quantities in the animated example.

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11. Grade 8 · Chapter 191

    Recover a right-triangle distance · practice 17

    A right triangle has perpendicular legs 7 and 11. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

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12. Grade 8 · Chapter 192

    Explain zero and negative powers · practice 16

    Evaluate 6 raised to the integer power 3. Follow the calculation, then test the quantities in the animated example.

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13. Grade 8 · Chapter 193

    Follow decimal place-value scaling · practice 19

    Write 5.5 × 10^(2) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

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14. Grade 8 · Chapter 194

    Separate trend from causal claims · practice 20

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [5.5, -4, -1, 2, -7.5], find the least-squares slope, mean output, and sum of squared residuals. Follow the calculation, then test the quantities in the animated example.

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15. Grade 8 · Chapter 195

    Accumulate circular cross-sections · practice 20

    Find the volume of a cylinder with radius 8 and height 9.5. Follow the calculation, then test the quantities in the animated example.

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16. Grade 8 · Chapter 196

    Bracket a principal square root · practice 21

    Enclose √44 after 4 bisections starting from [0, 44]. Report bounds rounded outward to five decimal places and the exact interval width. Follow the calculation, then test the quantities in the animated example.

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17. Grade 8 · Chapter 197

    Distinguish length and area multipliers · practice 21

    Dilate a rectangle with sides 1 and 6 by length factor 2. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

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18. Grade 8 · Chapter 198

    Connect slope and a linear rule · practice 22

    For the line y = 0x + (-2), find y when x = 3 and identify the slope and vertical intercept. Follow the calculation, then test the quantities in the animated example.

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19. Grade 8 · Chapter 199

    Locate simultaneous solutions · practice 22

    Solve the simultaneous equations y = -2.5x and y = -3x + (1). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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20. Grade 8 · Chapter 200

    Translate every coordinate equally · practice 22

    Translate the point (1, 1) by the vector (-2, 6). Find the image and the movement length. Follow the calculation, then test the quantities in the animated example.

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